STAT 3201 Lecture Notes - Lecture 5: Sample Space
24 Jan 2017
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Two events, a and b, are mutually exclusive (disjoint) if they have no outcomes in common and so can never occur simultaneously. The probability of an event e not occurring is 1-(probability of it occurring: p(ac) = 1-p(a) Calculating probabilities: sample point method: define the experiment and clearly determine how to describe one simple event, list the simple events associated with the experiment and test each to make sure that it cannot be decomposed. This defines the sample space s: assign reasonable probabilities to the sample points in s, making certain p(ei) 0 and. (cid:4666)(cid:4667)=1: define the event of interest, a, as a specific collection of the sample points, find p(a) by summing the probabilities of the sample points in a. An ordered arrangement of r distinct objects is called a permutation. The number of ways of ordering n distinct objects taken r at a time.
